SOLUTION: The length of one leg of a right triangle is 5cm. The hypotenuse is 1 cm more than the other leg. Find the length of the hypotenuse.
Algebra.Com
Question 502743: The length of one leg of a right triangle is 5cm. The hypotenuse is 1 cm more than the other leg. Find the length of the hypotenuse.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
a^2+b^2=c^2
b=5
c=a+1
5^2+a^2=(a+1)^2
5^2+a^2=a^2+2a+1
25=2a+1
2a=24
a=12
c=13 cm. length of the hypotenuse.
.
Ed
RELATED QUESTIONS
The length of the Hypotenuse of a right triangle is 25cm. One leg is 5cm longer than the... (answered by unlockmath)
The hypotenuse of a right triangle is 2 cm longer than one leg, The other leg has length... (answered by ikleyn)
One leg of a right triangle is 2 ft more than twice the other leg. The hypotenuse is 1... (answered by edjones)
This is a Pythagoreans Therom problem.
A right triangle has one leg that is 5cm longer (answered by checkley77)
one leg of a right triangle is 6cm shorter than the other leg. the length of the... (answered by stanbon)
the hypotenuse of a right triangle is 36 cm. The length of one leg is 20 cm. Find the... (answered by Alan3354)
2. The length of the hypotenuse of a right triangle is 13 cm. The length of one leg is... (answered by jim_thompson5910)
1. One leg of a right triangle is 2 feet longer than the other leg. The hypotenuse is 10... (answered by josmiceli,texttutoring,PRMath)
One leg of a right triangle is 4m less than the hypotenuse. The other leg is 2m less... (answered by edjones)